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Finding the Third Proportional to 37,072.69 and 81,055.69

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Solution

The third proportional to 37,072.69 and 81,055.69 is: 177,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072.69 : 81,055.69 = 81,055.69 : x
  2. Step 2: Convert to fraction form
    37,072.69/81,055.69 = 81,055.69/x
  3. Step 3: Cross multiply
    37,072.69x = 81,055.69 × 81,055.69
  4. Step 4: Simplify right side
    37,072.69x = 6,570,024,476.10
  5. Step 5: Solve for x
    x = 6,570,024,476.10/37,072.69
  6. Step 6: Final answer
    x = 177,220.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.